Grant: Discovery Grants Program - Individual

The drive towards miniature components and systems in information technology, biomedical engineering and bio-engineering continues at fast paste. However, by reducing the size of these components, strong, and often unwanted interaction, between the constitutive parts can not be ignored. It then becomes practically impossible to accurately model the system as a set of localized physical entities. An equivalent circuit of these compact systems must take into account the strong correlation between its elements and carefully handle their physical meaning and interpretation.The theory of representation has been pivotal in some of the most spectacular successes in fundamental physics such as quantum mechanics and mathematics such as group theory. Unfortunately, it has found little or no applications in engineering except in some areas of control theory and automation. The applicant has recently shown that representation theory sheds new light on how sophisticated components in microwave, wireless and satellite communications work and can be modeled. The goal of the proposed research is the development of novel models and advanced design techniques which are applicable to passive components of arbitrary bandwidth for microwave, optical and nano-technology applications. Emphasis will be on those systems with direct applications in information technology and biomedical engineering.